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Evaluation of the Most Significant Treatment Factors for Maize Grain Yields and Total Microbial Count in Long Term Agricultural Experiment (LTAE), Kenya 长期农业试验(LTAE)中玉米产量和微生物总数最显著处理因素评价,肯尼亚
Pub Date : 2017-11-11 DOI: 10.11648/j.sjams.20170506.11
Wambua Alex Mwaniki, Koske Joseph, Mutiso John, M. Wellington, K. Catherine, Eboi Bramuel
Agriculture and its related economic activities form the main livelihood for Kenya population. The sector faces numerous challenges that have led to food insecurity in the country. Maize production plays a significant role in the country’ economic development contributing significantly to the national overall Gross Domestic Product (GDP). Declining maize grain yield is one of the major challenges that require interventions to avert the looming food crisis. To address the challenge various Long Term Agricultural Experiments (LTAE) and studies on soil fertility maintainance options have been developed. However, such studies have explored only single factors at a time with limited application of robust statistical application. Statistical procedures could offer best set of few treatment factors that explain the maize grain yields in LTAEs in Kenya and beyond. The focus of this paper was the application of robust statistical methods in obtaining set of minimum treatment factors that could be used in the determination maize grain yield in LTAE. Specifically, the paper sought to describe the trend in maize grain yield over the experimental period, characterize the input factors for maize grain yield and to determine the most significant treatment factors for maize grain yield and total microbial population count (bacteria, fungi, actinomycetes, rhizobia). The primary data was summarized from LTAE in National Agricultural Research Laboratories (NARL), Kabete under the Kenya Agriculture and Livestock Research Organization (KALRO) and secondary data imputed for experimental points falling outside the set field experimental design points. Two treatment factors were isolated (Farm Yard Manure (FYM) and Nitrogen and Phosphorus (NP)) at their low factor levels as the most significant treatment factor in maximizing the maize grain yield and total microbial population count. It was possible to select a minimum set of treatment factors in LTAE that are critical in predicting the maize grain yield.
农业及其相关经济活动是肯尼亚人口的主要生计。该部门面临着导致该国粮食不安全的众多挑战。玉米生产在国家经济发展中发挥着重要作用,对国家总体国内生产总值(GDP)做出了重大贡献。玉米产量下降是需要采取干预措施以避免迫在眉睫的粮食危机的主要挑战之一。为了应对这一挑战,人们开展了各种长期农业试验(LTAE)和土壤肥力保持方案研究。然而,这些研究一次只探索了单一因素,应用有限的稳健统计应用。统计程序可以提供一组最佳的处理因素来解释肯尼亚和其他地区lttaes的玉米谷物产量。本文的重点是应用稳健统计方法获得一组可用于测定LTAE玉米籽粒产量的最小处理因子。具体而言,本文试图描述试验期间玉米籽粒产量的趋势,表征玉米籽粒产量的投入因素,并确定对玉米籽粒产量和微生物总数(细菌、真菌、放线菌、根瘤菌)最显著的处理因素。主要数据汇总自肯尼亚农畜研究组织(KALRO)卡贝特国家农业研究实验室(NARL)的LTAE,次要数据输入自设定的田间实验设计点以外的实验点。两个低水平的处理因子(农家肥(FYM)和氮磷(NP))是玉米产量和微生物总数最大化的最显著处理因子。可以在LTAE中选择一组最小的处理因子,这些因子对预测玉米籽粒产量至关重要。
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引用次数: 0
Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs 一阶IVPs系统的第二类块混合扩展梯形多步法数值策略
Pub Date : 2017-11-08 DOI: 10.11648/J.SJAMS.20170505.13
Y. S. Awari
A Modified Three Step Block Hybrid Extended Trapezoidal Multistep Method of Second Kind (BHETR 2 s) with two off-grid points, one at interpolation and another at collocation point yielding uniform order six (6, 6, 6, 6, 6) T for the Numerical Integration of initial value problems of stiff Ordinary Differential Equations was developed. The main method and additional equations were obtained from the same continuous formulation through interpolation and collocation procedures. The stability properties of the method was discussed and from the stability region obtained, the method is suitable for the solution Stiff Ordinary Differential Equations. Three numerical examples were considered to illustrate the efficiency and accuracy.
针对刚性常微分方程初值问题的数值积分问题,提出了一种改进的第二类三步块混合扩展梯形多步法(BHETR 2 s),该方法具有两个离格点,一个在插值点,另一个在配点处,得到一致阶的6 (6,6,6,6,6)T。通过插补和配置程序,从同一连续公式中得到主方法和附加方程。讨论了该方法的稳定性,从得到的稳定性区域来看,该方法适用于求解刚性常微分方程。通过三个算例验证了该方法的有效性和准确性。
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引用次数: 2
Predictive Model with Square-Root Variance Stabilizing Transformation for Nigeria Crude Oil Export to America 尼日利亚原油对美出口的平方根方差稳定变换预测模型
Pub Date : 2017-11-05 DOI: 10.11648/J.SJAMS.20170505.12
O. Adubisi, Titus Terkaa Mom, C. Adubisi, Phillip Luka
In the last few decades, crude oil has claimed the topmost position in Nigerian export list, constituting a very fundamental change in the structure of Nigerian international trade. In this study, secondary data on monthly crude oil export to the United States was obtained from the Energy Information Administration (EIA) database. Using the Box-Jenkins (ARIMA) methodology, the results showed that Seasonal ARIMA (0, 1, 1) (1, 0, 1)12 model had the least information criteria after the data was Square-Root transformed and non-seasonally first differenced in order to achieve series stationarity. The diagnostic tests on the selected model residuals revealed the residuals are normally distributed uncorrelated random shocks.
在过去的几十年里,原油在尼日利亚的出口清单中占据了首位,这是尼日利亚国际贸易结构的一个非常根本的变化。在本研究中,从美国能源情报署(EIA)的数据库中获得月度原油出口到美国的二次数据。采用Box-Jenkins (ARIMA)方法,结果表明:为达到序列平稳性,经平方根变换后,季节性ARIMA(0,1,1)(1,0,1)12模型的信息准则最少,且非季节性先差。对所选模型残差的诊断检验表明,残差是正态分布的不相关随机冲击。
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引用次数: 2
On Derivation of the Probability of Occurrence of an Epidemic with Application to HIV/AIDS Spread Given Tuberculosis Co-infections in the Presence of Treatment 在有治疗的情况下结核合并感染的艾滋病毒/艾滋病传播中流行病发生概率的推导及其应用
Pub Date : 2017-08-22 DOI: 10.11648/j.sjams.20170505.11
R. Simwa, Nelson Lwoyelo Muhati, L. Chikamai
Human Immunodeficiency Virus (HIV) and Mycobacterium Tuberculosis (TB) infections are two major world’s public health problems especially in developing countries. Worldwide, 13% of TB cases are estimated to be co-infected with HIV and about a third of 33 million people living with HIV are infected with the bacterium that causes TB. Deterministic models are derived and applied to estimate the basic reproduction number of HIV and TB co-infection as a single output value by treating each of the parameter input as a constant value. In this paper the basic reproduction number is modeled as a random variable, then the probability that there will bean epidemic, is derived and computed. In particular it is shown that for the sub-Saharan region, the probability of the epidemic occurring is 7.9%, as expected since an epidemic is generally a rare event. This research, thus develops the methodology for the computation of the probability of occurrence of an epidemic, which is useful for the public health policy formulation.
人类免疫缺陷病毒(HIV)和结核分枝杆菌(TB)感染是世界上两个主要的公共卫生问题,特别是在发展中国家。在世界范围内,估计13%的结核病病例与艾滋病毒合并感染,3300万艾滋病毒感染者中约有三分之一感染了导致结核病的细菌。推导了确定性模型,并将其应用于将每个参数输入作为恒定值来估计HIV和TB合并感染的基本繁殖数作为单个输出值。本文将基本繁殖数建模为随机变量,推导并计算了发生传染病的概率。特别是在撒哈拉以南地区,正如预期的那样,流行病发生的概率为7.9%,因为流行病通常是罕见事件。因此,本研究发展了流行病发生概率的计算方法,对公共卫生政策的制定有用。
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引用次数: 0
The Application of Binary Logistic Regression Analysis on Staff Performance Appraisal 二元Logistic回归分析在员工绩效考核中的应用
Pub Date : 2017-07-26 DOI: 10.11648/j.sjams.20170504.15
Runyi E. Francis
This study investigates and models salient factors that influences the performance of staff in an appraisal exercise and as well estimate the odds of these factors influencing the outcome variable (performance rating) as compared to their reference group or category. The Binary Logistic regression model was used to estimate chance of the staff given the influence of the identified independent variables. In the study, marital status was found to be significant in distinguishing staff performance as identified from the outlined factors influencing their performance.
本研究对考评工作中影响工作人员业绩的显著因素进行调查和建模,并估计这些因素影响结果变量(业绩评级)的几率,与参照组或类别相比。在确定的自变量影响下,使用二元Logistic回归模型估计员工的机会。在这项研究中,发现婚姻状况在区分工作人员绩效方面具有重要意义,这是从影响其绩效的概述因素中确定的。
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引用次数: 6
On Maximum Likelihood Estimation for the Three Parameter Gamma Distribution Based on Left Censored Samples 基于左截尾样本的三参数伽玛分布的极大似然估计
Pub Date : 2017-07-25 DOI: 10.11648/J.SJAMS.20170504.14
E. Ouedraogo, B. Somé, S. Dossou-Gbété
This paper deals with a Maximum likelihood method to fit a three-parameter gamma distribution to data from an independent and identically distributed scheme of sampling. The likelihood hinges on the joint distribution of the n − 1 largest order statistics and its maximization is done by resorting to a MM-algorithm. Monte Carlo simulations is performed in order to examine the behavior of the bias and the root mean square error of the proposed estimator. The performances of the proposed method is compared to those of two alternatives methods recently available in the literature: the location and scale parameters free maximum likelihood estimators (LSPF-MLE) of Nagatsuka & al. (2014), and Bayesian Likelihood (BL) method of Hall and Wang (2005). As in several papers on the three-parameter gamma fitting (Cohen and Whitten (1986), Tzavelas (2009), Nagatsuka & al. (2014), etc.), the classical dataset on the maximum flood levels data in millions of cubic feet per second for the Susquehanna River at Harrisburg, Pennsylvania, over 20 four-year periods from 1890–1969 from Antle and Dumonceaux’s paper (1973) is consider to illustrate the proposed method.
用极大似然法拟合独立同分布抽样方案的数据的三参数伽马分布。可能性取决于n−1个最大阶统计量的联合分布,其最大化是通过借助于mm算法完成的。蒙特卡罗模拟是为了检验偏差和均方根误差的行为所提出的估计。将本文方法的性能与文献中最近可用的两种替代方法进行了比较:Nagatsuka & al.(2014)的位置和尺度参数自由最大似然估计(LSPF-MLE),以及Hall和Wang(2005)的贝叶斯似然(BL)方法。正如几篇关于三参数伽玛拟合的论文(Cohen and Whitten (1986), Tzavelas (2009), Nagatsuka & al.(2014)等)一样,本文考虑了Antle和Dumonceaux的论文(1973)中关于宾夕法尼亚州哈里斯堡Susquehanna河的最高洪水水位的经典数据集,以每秒数百万立方英尺为单位,从1890年到1969年的20个四年期间。
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引用次数: 3
Variational Principles of Fuzzy Mappings and Its Applications 模糊映射的变分原理及其应用
Pub Date : 2017-07-19 DOI: 10.11648/j.sjams.20170504.13
Yu-E. Bao, Yingfang Niu, Yuan Li
In this paper, we firstly discuss the basic properties of the sub differential of fuzzy mapping and get some related conclusions. Secondly, we establish a variational principle of fuzzy mapping by establishing the concept of gauge fuzzy mapping. Then we prove the approximation sun rule of fuzzy mapping in sub-differential as the application of that principles.
本文首先讨论了模糊映射的子微分的基本性质,得到了一些相关的结论。其次,通过建立规范模糊映射的概念,建立了模糊映射的变分原理。然后作为该原理的应用,证明了次微分模糊映射的近似太阳规则。
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引用次数: 0
Prediction of Survival of HIV/AIDS Patients from Various Sources of Data Using AFT Models 利用AFT模型从各种数据来源预测HIV/AIDS患者的生存
Pub Date : 2017-07-07 DOI: 10.11648/J.SJAMS.20170504.11
Markos Abiso Erango, A. Goshu
The aim of this paper is to predict and compare the survival of HIV/AIDS patients under ART follow-up in three different hospitals in Ethiopia. Three data sets with total1304 patients were considered.Three parametric accelerated failure time distributions: lognormal, loglogistic and Weibull are used to analyze, predict and compare survival probabilities of the patients. The results indicate that the empirical hazard rates of the three data sets reveal maximal peaks. The patients from Arba Minch hospital seems to have highest event intensity. The AFT loglogistic model is selected to best fit to each of the data sets.Different covariates except TB infection status are found to affect patients' survival at each of the hospitals. Patients with TB infection at baseline tend to have shorter survival time as compare to one with no TB infection, with significant differences of survive time between the two groups. Patients under follow-up at Shashemene hospital tend have consistently highest survival probabilities in both TB positive and negative groups. Patients from Bale Robe hospital tend to have longest survival time, while those from Arba Minch hospital have shortest survival time.Patients with bedridden status have the shortest survival time.The AFT-loglogistic is recommended in modelling time-to-event data considered in this study. The results are unique to each hospital implying that patients' care and intervention needs to be specific.
本文的目的是预测和比较在埃塞俄比亚三家不同医院接受抗逆转录病毒治疗的艾滋病毒/艾滋病患者的生存率。三个数据集共1304例患者。三种参数加速失效时间分布:对数正态分布、逻辑分布和威布尔分布用于分析、预测和比较患者的生存概率。结果表明,3个数据集的经验危险率均出现最大峰值。Arba Minch医院的患者似乎具有最高的事件强度。选择AFT物流模型以最适合每个数据集。除结核感染状况外,不同的协变量影响患者在各医院的生存。基线时有结核感染的患者的生存时间往往比无结核感染的患者短,两组患者的生存时间有显著差异。在沙什梅内医院接受随访的患者,无论是结核病阳性组还是阴性组,生存率始终最高。Bale Robe医院的患者生存时间最长,Arba Minch医院的患者生存时间最短。卧床病人的生存时间最短。在本研究中,建议采用aft - logistic模型对事件时间数据进行建模。每个医院的结果都是独特的,这意味着患者的护理和干预需要是具体的。
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引用次数: 2
Generalized Linear Models of Malaria Incidence in Jubek State, South Sudan 南苏丹朱贝克州疟疾发病率的广义线性模型
Pub Date : 2017-07-07 DOI: 10.11648/j.sjams.20170504.12
L. G. L. Jumi
Malaria is a leading cause of morbidity and mortality in South Sudan. This study is meant to focus on the trend of malaria incidence in Jubek state, South Sudan. Data on weekly malaria incidence for the period January 2011 to October 2015 were used in the study. Generalized linear models, Poisson and negative binomial regression models were employed to analyze the data. Results obtained suggest that malaria incidence has been still on increase by 0.0030 and 0.0032 per week respectively. Additionally, incidence rate ratio suggests an increase of 0.3% per week of malaria incidence in Jubek state. The study recommends malaria control programmes focused on reducing malaria incidence be introduced in South Sudan in general and in Jubek state in particular.
疟疾是南苏丹发病和死亡的主要原因。本研究旨在关注南苏丹朱贝克州疟疾发病率的趋势。该研究使用了2011年1月至2015年10月期间每周疟疾发病率的数据。采用广义线性模型、泊松模型和负二项回归模型对数据进行分析。结果显示,疟疾发病率仍在以每周0.0030和0.0032的速度增长。此外,发病率比率表明,朱贝克州的疟疾发病率每周增加0.3%。该研究建议在整个南苏丹,特别是在朱贝克州实施以减少疟疾发病率为重点的疟疾控制规划。
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引用次数: 3
Multi-Input Intervention Analysis for Evaluating of the Domestic Airline Passengers in an International Airport 国际机场国内航线旅客评价的多输入干预分析
Pub Date : 2017-06-03 DOI: 10.11648/J.SJAMS.20170503.13
S. Wiradinata, Rado Yendra, Suhartono, M. Gamal
This article discusses multi-input intervention analysis to investigate the effect of interventions which may come from internal and/or external factors in time series data. The objective of this research is to obtain multi-input intervention analysis, which can explain the magnitude and periodic of each event effected to monthly types of the domestic airline passenger flight in Pekanbaru airport. The purpose of this study is to give a theoretical and empirical studies on the multi-input intervention analysis, particularly to develop and construct a model procedure of multi-input intervention cused by pulse and/or step function to evaluate the impact of these external and/or internal events in time series data. Monthly data comprising the number of the domestic airline passenger flight in Pekanbaru airport are used as the data for this case study. Generally, the forest fires, peatland, and illegal burning in Riau Province give a negative permanent impacts after four months. This study focuses on the derivation of some effect shapes, i.e. the temporary, gradually or permanent monthly airline passenger. In addition, the research also discusses how to assess the effect of an intervention in transformation data.
本文讨论了多输入干预分析,以研究时间序列数据中可能来自内部和/或外部因素的干预效果。本研究的目的是获得多输入干预分析,以解释每个事件对北干巴鲁机场国内航空客运航班月度类型的影响程度和周期。本研究的目的是对多输入干预分析进行理论和实证研究,特别是开发和构建脉冲和/或阶跃函数引起的多输入干预的模型程序,以评估这些外部和/或内部事件对时间序列数据的影响。本案例研究采用北干巴鲁机场国内航空客运航班的月度数据作为数据。一般来说,廖内省的森林火灾、泥炭地和非法焚烧在四个月后就会产生永久性的负面影响。本研究的重点是一些效应形状的推导,即临时,逐渐或永久每月航空旅客。此外,研究还讨论了如何评估转型数据干预的效果。
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引用次数: 3
期刊
Science Journal of Applied Mathematics and Statistics
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